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Finding the Fourth Proportional to 216,827.10, 325,240.65 and 83,711.70

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Solution

The fourth proportional to 216,827.10, 325,240.65 and 83,711.70 is: 125,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,827.10 : 325,240.65 = 83,711.70 : x
  2. Step 2: Convert to fraction form
    216,827.10/325,240.65 = 83,711.70/x
  3. Step 3: Cross multiply
    216,827.10x = 325,240.65 × 83,711.70
  4. Step 4: Simplify right side
    216,827.10x = 27,226,447,720.61
  5. Step 5: Solve for x
    x = 27,226,447,720.61/216,827.10
  6. Step 6: Final answer
    x = 125,567.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.